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Mathematics
Mathematics
Problem
A function
f
f
f
is defined by
f
(
x
)
=
{
3
,
x
<
1
2
x
,
x
≥
1
f(x)=\begin{cases}3,& x<1\\2x,& x\ge 1\end{cases}
f
(
x
)
=
{
3
,
2
x
,
x
<
1
x
≥
1
Suppose
F
F
F
is an antiderivative of
f
f
f
with
F
(
1
)
=
4
F(1)=4
F
(
1
)
=
4
. What is
F
(
3
)
F(3)
F
(
3
)
? a)
10
10
10
b)
12
12
12
c)
8
8
8
d)
11
11
11
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